The points I(-5,1), J(3,1), and K(-1,4) form a triangle. Find the desired slopes and lengths, then fill in the words that characterize the triangle. - slope of IJ = ____ slope of JK = ___ slope of IK= ___
- length of IJ = ___ length of JK = ___ length of IK = ___
Triangle IJK is _______ Submit Answer = √__

The solution of the system of equations is (-4, 3).

Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.

System of linear equations involve two or more linear equations.

Given are two linear equations.

y = -3/2 x - 3

y = 3/4 x + 6

The two equations are in slope intercept form.

The solution of the two equations is the intersection of the two lines.

Equate both the equations.

-3/2 x - 3 = 3/4 x + 6

-3/2 x - 3/4 x = 6 + 3

-9/4 x = 9

-x/4 = 1

x = -4

Substitute x = -4 in y = 3/4 x + 6.

y = -3 + 6 = 3

Hence the solution of the equations are x = -4 and y = 3.

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The measures of those two angles are, 20° and 110°

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Two angles of a quadrilateral measure 180° and 50°.

And, The other two angles are in a ratio of 2:11.

Since, The other two angles are in a ratio of 2:11.

Hence, ,Measures of both angles are, 2x and 11x.

Now, We know that;

Sum of all interior angles of a quadrilateral are 360°.

Hence, We get;

⇒ 180 + 50 + 2x + 11x = 360

⇒ 230 + 13x = 360

⇒ 13x = 360 - 230

⇒ 13x = 130

⇒ x = 10

Thus, Measures of both angles are,

2x = 2 × 10 = 20°

and 11x = 11 × 10 = 110°

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Answer:

Part A: To create an expression to represent the amount of canned food collected so far by the three friends, we need to add up their individual contributions. Therefore, the expression would be:

Amount collected = (3x² - 2) + (x²) + (2xy + 5)

Amount collected = 4x² + 2xy + 3

Part B: To find the expression that represents the number of cans the friends still need to collect to meet their goal, we need to subtract the amount collected from their goal expression. Therefore, the expression would be:

Cans still needed = 6x² - 2xy + 8 - (4x² + 2xy + 3)

Cans still needed = 2x² + 5

Answer: We do not have enough information to provide an answer for Part C as we need to know the value of x to evaluate the expression 6.02.

Answer: See attached.

Step-by-step explanation:

     First, we will find the unit rate by dividing.

30 rings / $12 = 2.5 rings per dollar

     Then, we can fill out the other values using this unit rate.

2 dollars * 2.5 rings per dollar = 5 rings

45 tosses / 2.5 rings per dollar = 18 rings

       Lastly, we will use these two equivalent ratios we found above to fill out the table and then plot the points. See attached.

The difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1 is -5.

To find and simplify the difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1, we need to substitute (x+h) into the function for x and then simplify.

First, let's substitute (x+h) into the function for x:
f(x+h) = -5(x+h) - 1

Next, let's simplify:
f(x+h) = -5x - 5h - 1

Now, let's subtract f(x) from f(x+h):
[f(x+h) - f(x)] = (-5x - 5h - 1) - (-5x - 1)

Simplifying further:
[f(x+h) - f(x)] = -5h

Finally, let's divide by h:
[f(x+h) - f(x)]/h = -5h/h = -5

Therefore, the difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1 is -5.

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Answer:

$9 an hour

Step-by-step explanation:

A) 1

B) 18

C) 4

D) 90

1. The value of Z is 1.96 determined from Z-table or a calculator. 2. The confidence interval equation is 161 ± 1.96* (4/√20). 3.The standard error is 0.8944. 4. The margin of error is 1.754. 5. The upper and lower limits are 162.754 and 159.246 respectively. 6. Confidence interval indicate how confident the researchers is that true mean is within the range.

1. For a 95% confidence interval, the value for Z is 1.96. This value is found by looking at a Z-table or using a calculator to find the Z-score that corresponds to a 95% confidence level.

2. The confidence interval equation is:

CI = x ± Z* (σ/√n)

Where x is the sample mean, Z is the Z-score, σ is the sample standard deviation, and n is the sample size.

Plugging in the values from the question, we get:

CI = 161 ± 1.96* (4/√20)

3. The standard error is calculated by dividing the sample standard deviation by the square root of the sample size:

SE = σ/√n = 4/√20 = 0.8944

4. The margin of error is calculated by multiplying the Z-score by the standard error:

ME = Z*SE = 1.96*0.8944 = 1.754

5. The upper and lower limits are calculated by adding and subtracting the margin of error from the sample mean:

Upper limit = x + ME = 161 + 1.754 = 162.754

Lower limit = x - ME = 161 - 1.754 = 159.246

6.  The 95% confidence interval for the mean drug price is between $159.246 and $162.754. This means that we are 95% confident that the true mean price of the drug is within this range.

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I may be wrong but, i think it may be C. due to how the question  states the answers and questions, Although it may also be B.

The domain is -7, 1, 3, 7 and the range is 2, 8

Determine if this is a function or not, find the domain, and find the range. {(7,8),(3,2),(1,8),(-7,2)} Is this a function or not? (type yes or no) What is the domain? (list the numbers in increasing order, seperated by a comma ) What is the range? (list the numbers in increasing order, seperated by a comma )

Yes, this is a function. The domain is -7, 1, 3, 7 and the range is 2, 8.

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In this context, we will explore the benefit and step of budgeting on home pay. By creating a budget and sticking to it, She (Henley) can ensure that she is effectively managing her income and achieving her financial goals.

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The solutions to the equation are x=1.25 and x=0.5. These are the values of w that make the equation true.

To solve the quadratic equation [tex]8w^(2)-14w+5=0[/tex] using the quadratic formula, we first need to identify the values of a, b, and c. In this case, a=8, b=-14, and c=5. The quadratic formula is:

[tex]x = (-b ± √(b^(2)-4ac))/(2a)[/tex]

Plugging in the values of a, b, and c, we get:

[tex]x = (-(-14) ± √((-14)^(2)-4(8)(5)))/(2(8))[/tex]

Simplifying the equation, we get:

x = (14 ± √(196-160))/16

x = (14 ± √36)/16

x = (14 ± 6)/16

Now we can solve for the two possible values of x:

x = (14+6)/16 = 20/16 = 1.25

x = (14-6)/16 = 8/16 = 0.5

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Answer:

Step-by-step explanation:

rwerdfsdfsdfsdfsdfsdfsdfsdfsdfsd           56

As per the unitary method, the bakery sold 2294 coffee buns.

Let us assume that the number of blueberry buns sold by the bakery is x. According to the problem, the number of coffee buns sold is 1560 more than the number of blueberry buns sold. Therefore, the number of coffee buns sold can be expressed as (x + 1560).

Now, we are given that the total number of buns sold (both coffee and blueberry) is 3028. Therefore, we can set up an equation based on the given information:

x + (x + 1560) = 3028

Simplifying this equation, we get:

2x + 1560 = 3028

2x = 1468

x = 734

Therefore, the number of blueberry buns sold by the bakery is 734. Now, we can use the unitary method to find the number of coffee buns sold. We know that the number of coffee buns sold is 1560 more than the number of blueberry buns sold, which is:

x + 1560 = 734 + 1560 = 2294

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The equation of the sine function is: y = 4 sin(1/4 x).

What is a sine function?

A sine function is a type of trigonometric function that relates the angle of a right triangle to the ratio of the length of its opposite side to its hypotenuse. It is defined as the ratio of the length of the opposite side of an angle in a right triangle to the length of the hypotenuse.

The general form of a sine function is:

y = A sin(Bx + C) + D

where A is the amplitude, B determines the period (B = 2π/period), C is the phase shift, and D is the vertical shift.

Substituting the given values, we get:

A = 4 (amplitude)

Period = 8π

B = 2π/Period = 2π/(8π) = 1/4

C = 0 (no phase shift)

D = 0 (no vertical shift)

the equation of the sine function is:

y = 4 sin(1/4 x)

Note that the value of B is the reciprocal of the period, since the formula for period is T = 2π/B, which can be rearranged to get B = 2π/T.

Hence, the equation of the sine function is: y = 4 sin(1/4 x).

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So the equation of the line in slope-intercept form is y = x + 2. The y-intercept is 2.

What is linear equation ?

Linear equation can be defined as equation in which highest degree is one.

In this problem, you are given a graph of a linear function. The graph shows two points on the line: (-2, 0) and (3, 5).

To find the slope of the line, we can use the formula:

slope = (change in y) / (change in x)

We can use the two points given to find the change in y and the change in x:

change in y = 5 - 0 = 5

change in x = 3 - (-2) = 5

Plugging these values into the formula, we get:

slope = 5/5 = 1

So the slope of the line is 1.

To find the y-intercept of the line, we can use one of the points on the line and the slope we just found. Let's use the point (-2, 0):

y - y1 = m(x - x1)

where (x1, y1) is the point (-2, 0) and m is the slope we just found:

y - 0 = 1(x - (-2))

y = x + 2

Therefore, the equation of the line in slope-intercept form is y = x + 2. The y-intercept is 2.

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The work performed on the steam in this compression process per kilogram is -50 kPa*V/kg.\

To find the work performed on the steam in this compression process per kilogram, we need to use the following formula:

W = PΔV

Where W is the work, P is the pressure, and ΔV is the change in volume.Since the process is isothermal, the pressure and volume are inversely proportional.

This means that if the pressure is doubled, the volume will be halved. In this case, the pressure is constant at 100 kPa, and the volume is halved because half of the vapour has condensed.

Therefore, the change in volume is:

ΔV = V/2 - V = -V/2

Substituting this into the formula for work, we get:

W = PΔV = (100 kPa)(-V/2) = -50 kPa*V

To find the work per kilogram, we need to divide the work by the mass of the steam. Since the mass is not given in the question, we can assume it is 1 kilogram. Therefore, the work per kilogram is:

-50 kPa*V/1 kg = -50 kPa*V/kg

So the work performed on the steam in this compression process per kilogram is -50 kPa*V/kg.\

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Answer:

its aaaaaaaaaaaaaa letter d

d. 0.2628

H0:μ≤116 Ha:μ>116 The value of the test statistic z=1.12. Find the p-value is0.8869. The correct answer is option c. 0.8869.

To find the p-value, we need to use the standard normal table or a calculator with a normal distribution function. The p-value is the probability of observing a test statistic as extreme or more extreme than the one observed, given that the null hypothesis is true.

In this case, we are looking for the probability that z is greater than or equal to 1.12, given that the null hypothesis is true.

Using a standard normal table, we can find the area to the left of z=1.12, which is 0.8686. However, we are interested in the area to the right of z=1.12, which is 1 - 0.8686 = 0.1314.

This is the p-value for a one-tailed test. However, the hypothesis test in the question is a two-tailed test, so we need to double the p-value to get the final answer. The p-value for a two-tailed test is 2 * 0.1314 = 0.2628.

Therefore, the correct answer is option c. 0.8869.

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Answer:

They have large leaves with holes in them that the Toucan can use to reach the fruit inside. The Toucan's beak is also used to break open hard-shelled fruits, such as coconuts. The Toucan's beak is also used for defence against predators, as it can be used to peck and jab at them. The adaptations of the rainforest plants are examples of convergent evolution. Both the Toucan and Monstera Plants have adapted to their environment in order to survive. The Toucan has a large beak that helps it to reach fruit in the canopy, while the Monstera Plant has long, grooved leaves with drip tips that allow water to run off and prevent mould. Both adaptations are beneficial for the survival of the species in the rainforest.

Step-by-step explanation:

Answer:

In Explanation

Step-by-step explanation:

To convert grams to pounds, we need to first convert grams to kilograms, and then kilograms to pounds.

Given that 1 gram = 0.001 kilograms, we can convert 23,000 grams to kilograms as follows:

23,000 grams = 23,000 * 0.001 kilograms = 23 kilograms

Now, given that 1 kilogram ≈ 2.2 pounds, we can convert 23 kilograms to pounds as follows:

23 kilograms * 2.2 pounds/kilogram = 50.6 pounds

Therefore, 23,000 grams is equivalent to 50.6 pounds.

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The given function will have a minor and major axis with length 6 and 8, respectively. The correct answer is B.

The given equation is (x²)/(9) - (y²)/(16) = 1 is in the form of (x²)/(a²) - (y²)/(b²) = 1. This is the equation of a hyperbola with a horizontal transverse axis.

The length of the major axis is 2a, and the length of the minor axis is 2b.

In this case, a = 3 and b = 4.

So, the length of the major axis is 2a = 2(3) = 6, and the length of the minor axis is 2b = 2(4) = 8.

Therefore, the correct answer is option b. 6,8.

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g can be made the subject of the formula as g = mv² / fr.

Subject of a formula is defined as the variable that we are going to find. This can be differentiated by putting in one side of the formula.

The given formula is,

f = mv² / gr

Here, f is the subject of the formula, as it is the only variable in the left hand side.

Now rearrange the equation that g is isolated in the left hand side.

Multiply both sides by gr.

f g r = mv²

g (fr) = mv²

Divide both sides by fr.

g = mv² / fr

Hence we can rearrange the formula as g = mv² / fr.

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The value of n in the n-sided polygon, with sides AC and AD, where the external angle formed at the point the decagon touches the n-sided polygon is 60° is; n = 15

A polygon is a planar shape with three or more straight sides.

The sum of angles at a point property indicates that, the sum of angles at the point A can be presented as follows;

∠BAC + ∠CAD + ∠DAB = 360°

Angle ∠BAC = 60°

Angle ∠DAB is an interior angle of a 10-sided regular polygon, (a decagon),  therefore, the measure of angle ∠DAB is 144°

Plugging in the values of the measures of the angles ∠BAC and ∠DAB, in the equation, ∠BAC + ∠CAD + ∠DAB = 360°, we get;

+ ∠CAD + 144° = 360°

∠CAD = 360° - (144° + 60°) = 156°

∠CAD = 156°

The formula for finding the measure of the interior angle of an n-sided polygon, θ, can be presented as follows;

θ = (n - 2) × 180°/n

Where the interior angle, θ = 156°, which is the measure of ∠CAD, in the n-sided polygon, we get;

156° = (n - 2) × 180°/n

156·n = 180·n - 360

360 = 180·n - 156·n = 24·n

n = 360/24 = 15

The number of sides in the n-sided polygon is 15, therefore, AC and AD are adjacent to a 15-sided polygon

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Answer:

do you have like any picture of a graph?

Step-by-step explanation:

when x=2

y=2(2)-1

y=4-1

Answer:

slope = -2, Y intercept = -1

Step-by-step explanation:

[tex]y = mx + c[/tex]

[tex]where \: m \: is \: the \: slope \: and \: c \: is \: the \: intercept[/tex]

So compare the equation with y= -2x-1

Therefore m = -2, c = -1

The sum of a series whose nth term is 3(2x+1) can be calculated using the formula: S = (n/2)(3a + 3d + a), where a = the first term of the series and d = the common difference between the terms. In the given series, the first term is 3(2x+1), and the common difference is 3. Therefore, the sum of the series is: S = (n/2)(3(2x+1) + 3(3) + (2x+1)) = (n/2)(9x + 10)

The fourth point has coordinates (-17, 0).

The x-coordinate of A remains constant but the sign of the y-coordinate changes if A is mirrored over the x-axis to form A'. Hence, if Has a coordinates (a, b), A' must also have coordinates (a, -b).

Given that A and A' are the corners of a rectangle that are opposite one another, the other two corners of the rectangle must be on a horizontal line that passes through A and A"s midpoint (a, 0). Since (a, 0) and the fourth point (let's call it C) are separated by 2|b|, the distance between A and A' is also 2|b|. This indicates that depending on which side of the line AA' C is on, it has coordinates of (a + 2|b|, 0) or (a - 2|b|, 0).

In this instance, the coordinates of A are (3, 5) and those of A' are (3, -5). The intersection of A and A' is (3, 0). A and A' are separated by 2|5|, which equals 10.

The fourth point, C, thus, has coordinates of either (3 + 2(10), 0) = (23, 0) or (3 - 2(10), 0) = (-17, 0).

The right response is (3 - 2(10), 0), which can be deduced from the graph since the rectangle is symmetric about the y-axis (-17, 0).

The fourth point therefore has coordinates (-17, 0).

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A polynomial that represents the distance between the heights of the balls after t seconds. Time t =15/20=0.75 seconds

a. Change of speed versus acceleration and time:

v = u + at

20  =  -16t2 + 30 +16t2 + 20t + 5

20=  20t + 35

20t=35-20=15

b.  We now interpret this polynomial as follows:Δh(t)=[tex]h_{0} -u_{y} t[/tex]

This shows how far apart the two balls are at time t. The two terms can be interpreted as follows: The initial separation between the two balls at time t=0 is represented by the constant term, h0 (in fact, the first ball is still at the top of the building, while the second ball is on the ground). For this issue[tex]h_{0} =30 feet.[/tex] The second ball's initial velocity, which serves as the coefficient of the linear term, [tex]u_{y}[/tex]tells us that the gap between the two balls closes by [tex]u_{y}[/tex] feet every second.

Time t =15/20=0.75 seconds. Time is the continuous pattern of existence and the events that take place in what appears to be an unbroken progression from the past through the present and into the future. It is a component number of various measurements that are used to compare the lengths of events or the pauses between them, to compare the order in which they occur, and to gauge the rates at which certain quantities in the physical world or in conscious experience change.

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Answer:

Step-by-step explanation:

take and mulityply all of them the add them all up

Correct statement: Two vectors are perpendicular if and only if the dot product of the two vectors is zero.

Explanation:

Two vectors are perpendicular if and only if the dot product of the two vectors is zero. This is equivalent to saying that the angle between the two vectors is 90 degrees. Therefore, the statement "Two vectors are perpendicular if and only if the angle between them is 90 degrees" is correct.

Every orthonormal set is linearly independent. This statement is also correct. An orthonormal set of vectors is a set of vectors that are pairwise perpendicular and have length 1.

Since the dot product of any two distinct vectors in an orthonormal set is 0, it follows that any linear combination of these vectors will also have a dot product of 0 with any other vector in the set.

Therefore, the only solution to a linear combination of these vectors being equal to the zero vector is for all the coefficients to be 0, which implies linear independence.

Every orthogonal set is linearly independent. This statement is also correct. An orthogonal set of vectors is a set of vectors that are pairwise perpendicular, but not necessarily of length 1.

Similar to the previous argument, the dot product of any two distinct vectors in an orthogonal set is 0, which implies linear independence.

R^n has an orthonormal basis. This statement is also correct. An orthonormal basis for a vector space is a basis consisting of orthonormal vectors. It can be shown that any finite-dimensional inner product space has an orthonormal basis, and R^n is a finite-dimensional inner product space with the standard dot product.

The zero vector is perpendicular to all other vectors. This statement is false. The zero vector is orthogonal to all other vectors, but not necessarily perpendicular, as the concept of perpendicularity requires the vectors to have a nonzero length.

Any orthonormal set in R^n is a basis. This statement is also correct. An orthonormal set of n vectors in R^n must span the entire space, as any vector in the space can be expressed as a linear combination of these vectors.

Furthermore, any set of n linearly independent vectors in R^n is a basis, so the fact that an orthonormal set is linearly independent (as shown in statement 2) implies that it is a basis.

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The points of the equation are: (-3, 0), (-9, 0), and (0, 0). Be sure to select the appropriate number.

To find the points of the equation f(x) = (3x2 + 18x + 27)/(x2 + 3x4), you need to set the numerator and denominator of the equation equal to 0. Then you can solve for the points.

Setting the numerator equal to 0:
3x2 + 18x + 27 = 0
Solve for x: x = -3 and x = -9

Setting the denominator equal to 0:
x2 + 3x4 = 0
Solve for x: x = 0

Therefore, the points of the equation are: (-3, 0), (-9, 0), and (0, 0). Be sure to select the appropriate number.

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